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PLSSSSS HELP 20 POINTS!!!!! NEEDE BY NOV 19 2022The length of the side of a rhombus is 14 in. The measure of each obtuse angle is 160°. Find the length of the longer diagonal of the rhombus.

User Gurupad Hegde
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2 Answers

18 votes
18 votes

Answer:

Explanation:

fars

User Peter Kostov
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3.4k points
15 votes
15 votes

Answer:

27.57 in

Explanation:

You want the length of the longer diagonal of a rhombus with side lengths 14 inches and obtuse angle 160°.

Law of Cosines

The law of cosines can be used to find the diagonal length. The length of the third side (c) is given by ...

c² = a² +b² -2ab·cos(C)

where a and b are the other two sides, enclosing angle C.

Application

c² = 14² +14² -2·14·14·cos(160°)

c² = 392 -392·cos(160°) ≈ 760.35951

c ≈ 27.5746

The longer diagonal is about 27.57 inches long.

PLSSSSS HELP 20 POINTS!!!!! NEEDE BY NOV 19 2022The length of the side of a rhombus-example-1
User Steven Jiang
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3.1k points